Shesterkin made 27 saves in a 3-0 win against the Devils at Prudential Center on Tuesday. He has a shutout streak of 166:56 against the Devils dating to a 6-1 win March 4.
"Obviously, two shutouts are great, but I will reinforce the fact that it wouldn't have happened without the guys," Shesterkin said. "They're going down, blocking every shot, eating pucks. It never happens without them."
Panarin had two goals and an assist, giving him at least three points in seven home games this season, the most by a Rangers player since Jaromir Jagr in 2006-07.
Colin Blackwell had three assists, and Ryan Lindgren scored his first goal in 98 games for New York (21-16-6), which is 6-1-2 in its past nine.
Mackenzie Blackwood made 29 saves for New Jersey (14-22-6), which lost its fourth straight game. It is 1-6-2 in its past nine.
The Rangers are in fifth place in the MassMutual East Division, four points behind the fourth-place Boston Bruins, who won 4-1 at home against the New York Islanders on Thursday. The top four teams will qualify for the Stanley Cup Playoffs.
"We're playing the right way," Shesterkin said. "We're taking it step by step and we're trying to make the playoffs."
The teams play here Saturday and at Prudential Center on Sunday to finish the four-game set.
"We have to find the extra step, stride, battle, whatever it takes," Devils captain Nico Hischier said. "Just saying it is not enough, we have to dig in and do it out there."
Jacob Trouba gave the Rangers a 1-0 lead with a one-timer from the right face-off circle that beat Blackwood on the glove side 47 seconds into the first period.
Lindgren extended the lead to 2-0 at 6:39 with his second NHL goal. He scored Nov. 10, 2019, for the Rangers against the Florida Panthers.
"Happy for [Lindgren], he got that first goal," Rangers coach David Quinn said. "He's been playing really well. He's been doing a lot of good things offensively on top of what he brings night in and night out defensively. When you've got that balance to your game it certainly helps."